RosettaCodeData/Task/Fast-Fourier-transform/ERRE/fast-fourier-transform.erre
2023-07-01 13:44:08 -04:00

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1.6 KiB
Text

PROGRAM FFT
CONST CNT=8
!$DYNAMIC
DIM REL[0],IMG[0],CMP[0],V[0]
BEGIN
SIG=INT(LOG(CNT)/LOG(2)+0.9999)
REAL1=2^SIG
REAL=REAL1-1
REAL2=INT(REAL1/2)
REAL4=INT(REAL1/4)
REAL3=REAL4+REAL2
!$DIM REL[REAL1],IMG[REAL1],CMP[REAL3]
FOR I=0 TO CNT-1 DO
READ(REL[I],IMG[I])
END FOR
DATA(1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0)
SIG2=INT(SIG/2)
SIG1=SIG-SIG2
CNT1=2^SIG1
CNT2=2^SIG2
!$DIM V[CNT1-1]
V[0]=0
DV=1
PTR=CNT1
FOR J=1 TO SIG1 DO
HLFPTR=INT(PTR/2)
PT=CNT1-HLFPTR
FOR I=HLFPTR TO PT STEP PTR DO
V[I]=V[I-HLFPTR]+DV
END FOR
DV=2*DV
PTR=HLFPTR
END FOR
K=2*π/REAL1
FOR X=0 TO REAL4 DO
CMP[X]=COS(K*X)
CMP[REAL2-X]=-CMP[X]
CMP[REAL2+X]=-CMP[X]
END FOR
PRINT("FFT: BIT REVERSAL")
FOR I=0 TO CNT1-1 DO
IP=I*CNT2
FOR J=0 TO CNT2-1 DO
H=IP+J
G=V[J]*CNT2+V[I]
IF G>H THEN
SWAP(REL[G],REL[H])
SWAP(IMG[G],IMG[H])
END IF
END FOR
END FOR
T=1
FOR STAGE=1 TO SIG DO
PRINT("STAGE:";STAGE)
D=INT(REAL2/T)
FOR II=0 TO T-1 DO
L=D*II
LS=L+REAL4
FOR I=0 TO D-1 DO
A=2*I*T+II
B=A+T
F1=REL[A]
F2=IMG[A]
CNT1=CMP[L]*REL[B]
CNT2=CMP[LS]*IMG[B]
CNT3=CMP[LS]*REL[B]
CNT4=CMP[L]*IMG[B]
REL[A]=F1+CNT1-CNT2
IMG[A]=F2+CNT3+CNT4
REL[B]=F1-CNT1+CNT2
IMG[B]=F2-CNT3-CNT4
END FOR
END FOR
T=2*T
END FOR
PRINT("NUM REAL IMAG")
FOR I=0 TO REAL DO
IF ABS(REL[I])<1E-5 THEN REL[I]=0 END IF
IF ABS(IMG[I])<1E-5 THEN IMG[I]=0 END IF
PRINT(I;"";)
WRITE("##.###### ##.######";REL[I];IMG[I])
END FOR
END PROGRAM